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Finding the Fourth Proportional to 543,146.58, 814,525.47 and 188,065.26

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Solution

The fourth proportional to 543,146.58, 814,525.47 and 188,065.26 is: 282,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,146.58 : 814,525.47 = 188,065.26 : x
  2. Step 2: Convert to fraction form
    543,146.58/814,525.47 = 188,065.26/x
  3. Step 3: Cross multiply
    543,146.58x = 814,525.47 × 188,065.26
  4. Step 4: Simplify right side
    543,146.58x = 153,183,944,292.17
  5. Step 5: Solve for x
    x = 153,183,944,292.17/543,146.58
  6. Step 6: Final answer
    x = 282,030.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.